Transforming the data in order to create a linear relationship between x and y.

[XodoX]

Homework Statement

A Fisher presents the following data, which give the logarithm to the base 10 of the volume occupied by algal cells on successive days, taken over a period for which the relative growth rate is approximately constant.

Day 1 = 3.592, Day 2 = 3.823, Day 3 = 4.174, Day 4 = 4.532, Day 5 = 4.956, Day 6 = 5.163, Day 7 = 5.495 Day 8 = 5.602, Day 9 = 6.087

Plot y against x. Do you think that the logarithmic transformation is appropriate? If so, why? Calculate and interpret the sample co-relation coefficient . By the method of least squares, fit log = alpha + betax to the n = 9 data points.

The Attempt at a Solution

I don't know what they mean by "transformation is appropriate". What am I supposed to do here? I also don't get what they want me to do with the calculation. Is X the n here? Plug in the values and then calculate it?

Homework Statement

Tukey discusses the relationship between the vapor pressure of B-trimethyl -borazole ( ym in millimeters of mercury) and temperature ( x, in C )

X= 13 y= 2.9 X=56.1 y=51.4 (It's a list with 4 columns. 8 rows ))
X=19.5 y= 5.1 X64.4 y=74.5

Plot y against x. How can we straighten this plot? Try various transformations.

The Attempt at a Solution

Ok, straighten what, how? To it's a straight horizontal line? so I have to compare the X and Y values and find a pattern ? Like, X=4 y=2.. then just use square root for all the y values?

 

[lanedance]

have you plotted you plotted the data? if so what do you see?